## A System of Geometry and Trigonometry: Together with a Treatise on Surveying : Teaching Various Ways of Taking the Survey of a Field : Also to Protract the Same and Find the Area : Likewise, Rectangular Surveying, Or, an Accurate Method of Calculating the Area of Any Field Arithmetically Without the Necessity of Plotting it : to the Whole are Added Several Mathematical Tables Necessary for Solving Questions in Trigonometry and Surveying with a Particular Explanation of Those Tables and the Manner of Using Them :compiled from Various Authors |

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### Common terms and phrases

according accurately Acres added Arch Base Bearing C.Sec calculated called Circle Compass contained Course Decimal Degrees Departure Column describe Diagonal Diameter Difference Dist Distance divided Draw the Line drawn Eastings equal EXAMPLE feet Field FIELD BOOK figures find the Area four fourth give given greater half hand Hypothenuse Land Lat Dep Latitude and Departure Leg BC length less Line Links Logarithms measure Meridian method Minutes multiply Natural Sines North North Areas Note observed Offsets parallel particular Perpendicular Plate Plot Point preceding PROBLEM Product Proportions protract Radius Remainder represent Right Angled Triangle Rule Scale Secant Side Side BC Sine C.Sine Sine C.Tang Sine Sine South Areas Square Star Station subtract Suppose survey Surveyor Table Tang Tangent third Trapezoid Triangle TRIGONOMETRY West whole

### Popular passages

Page 12 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.

Page 34 - As the base or sum of the segments Is to the sum of the other two sides, So is the difference of those sides To the difference of the segments of the base.

Page iv - District, has deposited in this office the title of a book, the right whereof he claims as proprietor, in the words following, to wit : " THE CHILD'S BOTANY," In conformity to the act of the Congress of the United States, entitled, " An act for the encouragement of learning by securing the copies of maps, charts, and books to the authors and proprietors of such copies, during the times therein mentioned...

Page 16 - Figures which consist of more than four sides' are called polygons; if the sides are equal to each other they are called regular polygons, and are sometimes named from the number of their sides, as pentagon, or hexagon, a figure of five or six sides, &c.; if the sides are unequal, they are called irregular polygons.

Page iv - RILEY, of the said district, hath deposited in this office the title of a book, the right whereof he claims as proprietor, in the words and figures following, to wit : " Collections of the New-York Historical Society. For the year 1809. Volume I. Esti nen prosunt singula, juncta juvent...

Page iv - ... encouragement of learning by securing the copies of maps, charts, and books, to the authors and proprietors of such copies, during the times therein mentioned ; " and extending the benefits thereof to the arts of designing, engraving, and etching historical, and other prints.

Page 13 - Fig. 7. 23. The Tangent of an Arch is a Right Line touching the Circumference, and drawn perpendicular to the Diameter ; and 'is terminated by a Line drawn from the Centre through the other end of the Arch ; thus BK is the Tangent of the Arch BH.

Page 12 - The radius of a circle is a line drawn from the centre to the circumference, as A, B.

Page 12 - The chord of an arc of 60 degrees is equal in length to the radius of the circle of which the arc is a part.

Page 29 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.